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Finding the Fourth Proportional to 498.18, 687.34 and 311.64

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Solution

The fourth proportional to 498.18, 687.34 and 311.64 is: 429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.18 : 687.34 = 311.64 : x
  2. Step 2: Convert to fraction form
    498.18/687.34 = 311.64/x
  3. Step 3: Cross multiply
    498.18x = 687.34 × 311.64
  4. Step 4: Simplify right side
    498.18x = 214,202.64
  5. Step 5: Solve for x
    x = 214,202.64/498.18
  6. Step 6: Final answer
    x = 429.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.